idea

`N.H.F. Beebe and J. Linderberg, Simplifications in the generation and transformation of two‐electron integrals in molecular calculations, Int. J. Quant. Chem. 12, 683-705 (1977)`

first serious realization (also implemented in CFOUR within the MINT integral package)

`H. Koch, A.S. de Merás, T.B. Pedersen, Reduced scaling in electronic structure calculations using Cholesky decompositions, J. Chem. Phys. 118, 9481-9484 (2003)`

efficient realization

`S.D. Folkestad, E.F. Kjønstad, H. Koch, An efficient algorithm for Cholesky decomposition of electron repulsion integrals, J. Chem. Phys. 150, 194112 (2019)`

realization with coupled-cluster and equation-of-motion coupled-cluster theory

`E. Epifanovsky, D. Zuev, X. Feng, K. Khistayev, Y. Shao, A.I. Krylov, General implementation of the resolution-of-the-identity and Cholesky representations of electron repulsion integrals within coupled-cluster and qquation-of-motion methods: Theory and benchmarks, J. Chem. Phys. 139, 134105 (2013)`

implementation in CFOUR with quadratically convergent SCF

`T. Nottoli, J. Gauss, F. Lipparini, A black-box, general purpose quadratic self-consistent field code with and without Cholesky decomposition of the two-electron integrals, Mol. Phys. 119, e1974590 (2021) `

implementation in CFOUR with CASSCF

`T. Nottoli, J. Gauss, F. Lipparini, Second-order CASSCF algorithm with the Cholesky decomposition of the two-electron integrals, J. Chem. Theor. Comp. 17, 6819-6831 (2021) `

geometrical gradients with Cholesky decomposition

`X. Feng, E. Epifanovsky, J. Gauss, A.I. Krylov, Implementation of analytic gradients for CCSD and EOM-CCSD using Cholesky decomposition of the electron-repulsion integrals and their derivatives: Theory and benchmarks, J. Chem. Phys. 151, 014110 (2019)`

NMR chemical shifts with Cholesky decomposition (CD-GIAO-MP2)

`S. Burger, F. Lipparini, J. Gauss, S. Stopkowicz, NMR chemical shift computations at second-order Møller–Plesset perturbation theory using gauge-including atomic orbitals and Cholesky-decomposed two-electron integrals, J. Chem. Phys. 155, 074105 (2021)`